The coexistence states for periodic planar Kolmogorov systems are studied. The system is limited to the existence of positive T-periodic solutions and to consider a rather general class of systems which generalize some aspects of the characteristic behavior of the predator-prey or the competing species model. A continuation result was used, which is a slightly modified formulation of Lemma 1, where 2D Kolmogorov systems, with N≥1, are considered.
Coexistence states for periodic planar Kolmogorov systems
BATTAUZ, ANNA
1999
Abstract
The coexistence states for periodic planar Kolmogorov systems are studied. The system is limited to the existence of positive T-periodic solutions and to consider a rather general class of systems which generalize some aspects of the characteristic behavior of the predator-prey or the competing species model. A continuation result was used, which is a slightly modified formulation of Lemma 1, where 2D Kolmogorov systems, with N≥1, are considered.
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